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Finding the Fourth Proportional to 518,981,660,998.80, 778,472,491,498.20 and 518,981,660,998.80

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Solution

The fourth proportional to 518,981,660,998.80, 778,472,491,498.20 and 518,981,660,998.80 is: 778,472,491,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,981,660,998.80 : 778,472,491,498.20 = 518,981,660,998.80 : x
  2. Step 2: Convert to fraction form
    518,981,660,998.80/778,472,491,498.20 = 518,981,660,998.80/x
  3. Step 3: Cross multiply
    518,981,660,998.80x = 778,472,491,498.20 × 518,981,660,998.80
  4. Step 4: Simplify right side
    518,981,660,998.80x = 404,012,946,679,610,011,025,408
  5. Step 5: Solve for x
    x = 404,012,946,679,610,011,025,408/518,981,660,998.80
  6. Step 6: Final answer
    x = 778,472,491,498.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.